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Finding the Fourth Proportional to 311,556.15, 429,947.70 and 168,316.14

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Solution

The fourth proportional to 311,556.15, 429,947.70 and 168,316.14 is: 232,276.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,556.15 : 429,947.70 = 168,316.14 : x
  2. Step 2: Convert to fraction form
    311,556.15/429,947.70 = 168,316.14/x
  3. Step 3: Cross multiply
    311,556.15x = 429,947.70 × 168,316.14
  4. Step 4: Simplify right side
    311,556.15x = 72,367,137,265.88
  5. Step 5: Solve for x
    x = 72,367,137,265.88/311,556.15
  6. Step 6: Final answer
    x = 232,276.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.